X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba_drops.ma;h=e55602e4f25b6ac2bdd6dd07499744748c85fe84;hp=abe54f1fb1118fe02e24a9b89a0bafb00fdbb872;hb=222044da28742b24584549ba86b1805a87def070;hpb=e9da8e091898b6e67a2f270581bdc5cdbe80e9b0

diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma
index abe54f1fb..e55602e4f 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba_drops.ma
@@ -22,19 +22,19 @@ include "basic_2/static/lsuba.ma".
 (* Note: the premise 𝐔⦃f⦄ cannot be removed *)
 (* Basic_2A1: includes: lsuba_drop_O1_conf *)
 lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → 
-                              ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b, f] L1 ≡ K1 →
-                              ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L2 ≡ K2.
+                              ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b, f] L1 ≘ K1 →
+                              ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L2 ≘ K2.
 #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #V #HL12 #IH #b #f #K1 #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+| #I #L1 #L2 #HL12 #IH #b #f #K1 #Hf #H
+  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
-    /3 width=3 by lsuba_pair, drops_refl, ex2_intro/
+    /3 width=3 by lsuba_bind, drops_refl, ex2_intro/
   | #g #Hg #HLK1 #H destruct -HL12
     elim (IH … Hg HLK1) -L1 -Hg /3 width=3 by drops_drop, ex2_intro/
   ]
 | #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K1 #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
     /3 width=3 by drops_refl, lsuba_beta, ex2_intro/
   | #g #Hg #HLK1 #H destruct -HL12
@@ -45,20 +45,20 @@ qed-.
 
 (* Note: the premise 𝐔⦃f⦄ cannot be removed *)
 (* Basic_2A1: includes: lsuba_drop_O1_trans *)
-lemma lsuba_drop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 →
-                           ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≡ K2 →
-                           ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L1 ≡ K1.
+lemma lsuba_drops_trans_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 →
+                               ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b, f] L2 ≘ K2 →
+                               ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇*[b, f] L1 ≘ K1.
 #G #L1 #L2 #H elim H -L1 -L2
 [ /2 width=3 by ex2_intro/
-| #I #L1 #L2 #V #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+| #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H
+  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
-    /3 width=3 by lsuba_pair, drops_refl, ex2_intro/
+    /3 width=3 by lsuba_bind, drops_refl, ex2_intro/
   | #g #Hg #HLK2 #H destruct -HL12
     elim (IH … Hg HLK2) -L2 -Hg /3 width=3 by drops_drop, ex2_intro/
   ]
 | #L1 #L2 #W #V #A #HV #HW #HL12 #IH #b #f #K2 #Hf #H
-  elim (drops_inv_pair1_isuni … Hf H) -Hf -H *
+  elim (drops_inv_bind1_isuni … Hf H) -Hf -H *
   [ #Hf #H destruct -IH
     /3 width=3 by drops_refl, lsuba_beta, ex2_intro/
   | #g #Hg #HLK2 #H destruct -HL12